We appreciate your visit to Two arithmetic progressions APs have the same first and last terms The first AP has 21 terms with a common difference of 9 How many. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The number of terms of the second arithmetic progression is 46.
How to find the number of terms of an arithmetic progression?
The two arithmetic progression have the same first and last terms.
The first arithmetic progression has 21 terms with a common difference of 9.
The second arithmetic progression have common difference of 4.
Therefore,
using the first arithmetic progression,
a + (n - 1)d = nth term
a + 20(9) = last term
last term = a + 180
using the second arithmetic progression,
a + (n - 1)d = nth term
They have the same last and first term,
Hence,
a + 180 = a + (n - 1)4
a + 180 = a + 4n - 4
180 + 4 = 4n
184 = 4n
n = 184 / 4
n = 46
Therefore, the number of terms is 46
learn more on arithmetic progression(AP) here: https://brainly.com/question/16894868
#SPJ1
Thanks for taking the time to read Two arithmetic progressions APs have the same first and last terms The first AP has 21 terms with a common difference of 9 How many. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
